SOLUTION: A 6m ladder is placed against the wall with its base 2m from the wall. How high is the top of the ladder above the ground?

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Question 1123588: A 6m ladder is placed against the wall with its base 2m from the wall. How high is the top of the ladder above the ground?
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39617) About Me  (Show Source):
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
ladder placed against the wall with its base form right angle triangle where
the ladder represents hypotenuse, the wall and base representing the legs
use Pythagorean theorem c%5E2=a%5E2%2Bb%5E2 to find how high is the top of the ladder above the ground
given:
ladder is c=6m
base is a=2m
to find: height of the wall b
%286m%29%5E2=%282m%29%5E2%2Bb%5E2
36m%5E2=4m%5E2%2Bb%5E2
36m%5E2-4m%5E2=b%5E2
32m%5E2=b%5E2
b=sqrt%2832m%5E2%29
b=sqrt%282%2A16%2Am%5E2%29
b=4sqrt%282%29%2Am